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Finding the Fourth Proportional to 262,857.80, 394,342.86 and 96,645.80

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Solution

The fourth proportional to 262,857.80, 394,342.86 and 96,645.80 is: 144,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857.80 : 394,342.86 = 96,645.80 : x
  2. Step 2: Convert to fraction form
    262,857.80/394,342.86 = 96,645.80/x
  3. Step 3: Cross multiply
    262,857.80x = 394,342.86 × 96,645.80
  4. Step 4: Simplify right side
    262,857.80x = 38,111,581,178.99
  5. Step 5: Solve for x
    x = 38,111,581,178.99/262,857.80
  6. Step 6: Final answer
    x = 144,989.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.